A hybrid T-Trefftz polygonal finite element for linear elasticity

Reference : A hybrid T-Trefftz polygonal finite element for linear elasticity


	Document type :	E-prints/Working papers : First made available on ORBilu
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/16801

Title :	A hybrid T-Trefftz polygonal finite element for linear elasticity
Language :	English
Author, co-author :	Bhattacharjee, Kalyan []
	Natarajan, Sundararajan []
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Publication date :	19-May-2014
Peer reviewed :	No
Keywords :	[en] polygonal finite element method ; Trefftz finite element ; T complete set functions ; boundary integration
Abstract :	[en] In this paper, we construct hybrid T-Trefftz polygonal finite elements. The displacement field within the polygon is repre- sented by the homogeneous solution to the governing differential equation, also called as the T-complete set. On the boundary of the polygon, a conforming displacement field is independently defined to enforce continuity of the displacements across the element boundary. An optimal number of T-complete functions are chosen based on the number of nodes of the polygon and degrees of freedom per node. The stiffness matrix is computed by the hybrid formulation with auxiliary displacement frame. Results from the numerical studies presented for a few benchmark problems in the context of linear elasticity shows that the proposed method yield highly accurate results.
Target :	Researchers ; Professionals ; Students ; General public ; Others
Permalink :	http://hdl.handle.net/10993/16801

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